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arxiv: 0712.2918 · v1 · submitted 2007-12-18 · ✦ hep-th · cond-mat.stat-mech· math-ph· math.MP· nlin.SI

Non-diagonal reflection for the non-critical XXZ model

classification ✦ hep-th cond-mat.stat-mechmath-phmath.MPnlin.SI
keywords boundarychainmatrixnon-criticalopenansaztbarebethe
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The most general physical boundary $S$-matrix for the open XXZ spin chain in the non-critical regime ($\cosh (\eta)>1$) is derived starting from the bare Bethe ansazt equations. The boundary $S$-matrix as expected is expressed in terms of $\Gamma_q$-functions. In the isotropic limit corresponding results for the open XXX chain are also reproduced.

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